Graph the Function Over a One-Period Interval $11 \mathrm {~m}$ And Ranges from 6 To

Multiple Choice

Graph the function over a one-period interval.
-Tides go up and down in a 13.2-hour period. The average depth of a certain river is $11 \mathrm {~m}$ and ranges from 6 to $16 \mathrm {~m}$ . The variation can be approximated by a sine curve. Write an equation that gives the approximate variation $\mathrm { y }$ , if $\mathrm { x }$ is the number of hours after midnight and high tide occurs at 8:00 am.

A) $y = 11 \sin \left( \frac { \pi x } { 6.6 } - 8 \pi \right)$
B) $y = 5 \sin \left( \frac { \pi x } { 6.6 } - \frac { 4.7 \pi } { 6.6 } \right)$
C) $y = 11 \sin \left( \frac { \pi x } { 6.6 } - \frac { 8 \pi } { 6.6 } \right)$
D) $y = 5 \sin \left( \frac { \pi x } { 6.6 } - \frac { 8 \pi } { 6.6 } \right)$